Affine Hecke algebras and raising operators for Macdonald polynomials

1996/05/04 by Anatol N. Kirillov, Kirillov, Anatol N., Masatoshi Noumi +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9605004

openalex publication_date 1996/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce certain raising and lowering operators for Macdonald polynomials (of type A_n-1) by means of Dunkl operators. The raising operators we discuss are a natural q-analogue of raising operators for Jack polynomials introduced by L.Lapointe and L.Vinet. As an application we prove the integrality of double Kostka coefficients. Double analog of the multinomial coefficients are introduced.

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